Finding the Third Proportional to 50,469 and 106,166

Step by Step Solution

1. Step 1: Write the proportion equation
   50,469 : 106,166 = 106,166 : x
2. Step 2: Convert to fraction form
   50,469/106,166 = 106,166/x
3. Step 3: Cross multiply
   50,469x = 106,166 × 106,166
4. Step 4: Simplify right side
   50,469x = 11,271,219,556
5. Step 5: Solve for x
   x = 11,271,219,556/50,469
6. Step 6: Final answer
   x = 223,329.56